SOLUTION: solve for the variable: 4^(4x-7)= 3^(9x-6) I'm drawing a blank. Please help

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Question 918057: solve for the variable:
4^(4x-7)= 3^(9x-6)
I'm drawing a blank. Please help


Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
4%5E%284x-7%29=+3%5E%289x-6%29


%284x-7%29log%28%284%29%29=%289x-6%29log%28%283%29%29
4x%2Alog%28%284%29%29-7%2Alog%28%284%29%29=9x%2Alog%28%283%29%29-6%2Alog%28%283%29%29
9x%2Alog%28%283%29%29-4x%2Alog%28%284%29%29-6%2Alog%28%283%29%29=-7%2Alog%28%284%29%29
9x%2Alog%28%283%29%29-4x%2Alog%28%284%29%29=-7%2Alog%28%284%29%29%2B6%2Alog%28%283%29%29
x%289%2Alog%28%283%29%29-4%2Alog%28%284%29%29%29=6%2Alog%28%283%29%29-7%2Alog%28%284%29%29




You can use any logarithm base you want, and finish the computation.